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Finding the Fourth Proportional to 7,875.90, 10,868.75 and 4,518.58

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Solution

The fourth proportional to 7,875.90, 10,868.75 and 4,518.58 is: 6,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.90 : 10,868.75 = 4,518.58 : x
  2. Step 2: Convert to fraction form
    7,875.90/10,868.75 = 4,518.58/x
  3. Step 3: Cross multiply
    7,875.90x = 10,868.75 × 4,518.58
  4. Step 4: Simplify right side
    7,875.90x = 49,111,316.38
  5. Step 5: Solve for x
    x = 49,111,316.38/7,875.90
  6. Step 6: Final answer
    x = 6,235.64

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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.