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Finding the Fourth Proportional to 10,557.99, 14,569.88 and 5,842.17

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Solution

The fourth proportional to 10,557.99, 14,569.88 and 5,842.17 is: 8,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.99 : 14,569.88 = 5,842.17 : x
  2. Step 2: Convert to fraction form
    10,557.99/14,569.88 = 5,842.17/x
  3. Step 3: Cross multiply
    10,557.99x = 14,569.88 × 5,842.17
  4. Step 4: Simplify right side
    10,557.99x = 85,119,686.63
  5. Step 5: Solve for x
    x = 85,119,686.63/10,557.99
  6. Step 6: Final answer
    x = 8,062.11

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