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Finding the Fourth Proportional to 7,569.48, 11,345.82 and 5,714.58

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Solution

The fourth proportional to 7,569.48, 11,345.82 and 5,714.58 is: 8,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.48 : 11,345.82 = 5,714.58 : x
  2. Step 2: Convert to fraction form
    7,569.48/11,345.82 = 5,714.58/x
  3. Step 3: Cross multiply
    7,569.48x = 11,345.82 × 5,714.58
  4. Step 4: Simplify right side
    7,569.48x = 64,836,596.06
  5. Step 5: Solve for x
    x = 64,836,596.06/7,569.48
  6. Step 6: Final answer
    x = 8,565.53

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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.