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Finding the Fourth Proportional to 10,354.08, 15,534 and 5,740.32

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Solution

The fourth proportional to 10,354.08, 15,534 and 5,740.32 is: 8,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.08 : 15,534 = 5,740.32 : x
  2. Step 2: Convert to fraction form
    10,354.08/15,534 = 5,740.32/x
  3. Step 3: Cross multiply
    10,354.08x = 15,534 × 5,740.32
  4. Step 4: Simplify right side
    10,354.08x = 89,170,130.88
  5. Step 5: Solve for x
    x = 89,170,130.88/10,354.08
  6. Step 6: Final answer
    x = 8,612.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.