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Finding the Fourth Proportional to 10,565.61, 14,565.51 and 7,204.11

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Solution

The fourth proportional to 10,565.61, 14,565.51 and 7,204.11 is: 9,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.61 : 14,565.51 = 7,204.11 : x
  2. Step 2: Convert to fraction form
    10,565.61/14,565.51 = 7,204.11/x
  3. Step 3: Cross multiply
    10,565.61x = 14,565.51 × 7,204.11
  4. Step 4: Simplify right side
    10,565.61x = 104,931,536.25
  5. Step 5: Solve for x
    x = 104,931,536.25/10,565.61
  6. Step 6: Final answer
    x = 9,931.42

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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.