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Finding the Fourth Proportional to 7,565.16, 10,416.06 and 6,864.52

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Solution

The fourth proportional to 7,565.16, 10,416.06 and 6,864.52 is: 9,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.16 : 10,416.06 = 6,864.52 : x
  2. Step 2: Convert to fraction form
    7,565.16/10,416.06 = 6,864.52/x
  3. Step 3: Cross multiply
    7,565.16x = 10,416.06 × 6,864.52
  4. Step 4: Simplify right side
    7,565.16x = 71,501,252.19
  5. Step 5: Solve for x
    x = 71,501,252.19/7,565.16
  6. Step 6: Final answer
    x = 9,451.39

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Why These Related Problems?

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