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Finding the Fourth Proportional to 10,565.61, 14,547.30 and 8,968.92

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Solution

The fourth proportional to 10,565.61, 14,547.30 and 8,968.92 is: 12,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.61 : 14,547.30 = 8,968.92 : x
  2. Step 2: Convert to fraction form
    10,565.61/14,547.30 = 8,968.92/x
  3. Step 3: Cross multiply
    10,565.61x = 14,547.30 × 8,968.92
  4. Step 4: Simplify right side
    10,565.61x = 130,473,569.92
  5. Step 5: Solve for x
    x = 130,473,569.92/10,565.61
  6. Step 6: Final answer
    x = 12,348.89

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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.