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Finding the Fourth Proportional to 10,569.12, 14,585.44 and 6,849.60

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Solution

The fourth proportional to 10,569.12, 14,585.44 and 6,849.60 is: 9,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.12 : 14,585.44 = 6,849.60 : x
  2. Step 2: Convert to fraction form
    10,569.12/14,585.44 = 6,849.60/x
  3. Step 3: Cross multiply
    10,569.12x = 14,585.44 × 6,849.60
  4. Step 4: Simplify right side
    10,569.12x = 99,904,429.82
  5. Step 5: Solve for x
    x = 99,904,429.82/10,569.12
  6. Step 6: Final answer
    x = 9,452.48

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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.