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Finding the Fourth Proportional to 10,477.74, 14,458.80 and 5,762.01

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Solution

The fourth proportional to 10,477.74, 14,458.80 and 5,762.01 is: 7,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.74 : 14,458.80 = 5,762.01 : x
  2. Step 2: Convert to fraction form
    10,477.74/14,458.80 = 5,762.01/x
  3. Step 3: Cross multiply
    10,477.74x = 14,458.80 × 5,762.01
  4. Step 4: Simplify right side
    10,477.74x = 83,311,750.19
  5. Step 5: Solve for x
    x = 83,311,750.19/10,477.74
  6. Step 6: Final answer
    x = 7,951.31

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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.