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Finding the Fourth Proportional to 11,373.54, 15,688.35 and 7,830.60

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Solution

The fourth proportional to 11,373.54, 15,688.35 and 7,830.60 is: 10,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.54 : 15,688.35 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    11,373.54/15,688.35 = 7,830.60/x
  3. Step 3: Cross multiply
    11,373.54x = 15,688.35 × 7,830.60
  4. Step 4: Simplify right side
    11,373.54x = 122,849,193.51
  5. Step 5: Solve for x
    x = 122,849,193.51/11,373.54
  6. Step 6: Final answer
    x = 10,801.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.