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Finding the Fourth Proportional to 10,466.57, 15,699.88 and 2,569.12

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Solution

The fourth proportional to 10,466.57, 15,699.88 and 2,569.12 is: 3,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.57 : 15,699.88 = 2,569.12 : x
  2. Step 2: Convert to fraction form
    10,466.57/15,699.88 = 2,569.12/x
  3. Step 3: Cross multiply
    10,466.57x = 15,699.88 × 2,569.12
  4. Step 4: Simplify right side
    10,466.57x = 40,334,875.71
  5. Step 5: Solve for x
    x = 40,334,875.71/10,466.57
  6. Step 6: Final answer
    x = 3,853.69

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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.