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Finding the Fourth Proportional to 10,565.47, 14,577.06 and 7,029.28

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Solution

The fourth proportional to 10,565.47, 14,577.06 and 7,029.28 is: 9,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.47 : 14,577.06 = 7,029.28 : x
  2. Step 2: Convert to fraction form
    10,565.47/14,577.06 = 7,029.28/x
  3. Step 3: Cross multiply
    10,565.47x = 14,577.06 × 7,029.28
  4. Step 4: Simplify right side
    10,565.47x = 102,466,236.32
  5. Step 5: Solve for x
    x = 102,466,236.32/10,565.47
  6. Step 6: Final answer
    x = 9,698.22

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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.