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Finding the Fourth Proportional to 11,569.29, 15,965.78 and 7,030.68

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Solution

The fourth proportional to 11,569.29, 15,965.78 and 7,030.68 is: 9,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.29 : 15,965.78 = 7,030.68 : x
  2. Step 2: Convert to fraction form
    11,569.29/15,965.78 = 7,030.68/x
  3. Step 3: Cross multiply
    11,569.29x = 15,965.78 × 7,030.68
  4. Step 4: Simplify right side
    11,569.29x = 112,250,254.98
  5. Step 5: Solve for x
    x = 112,250,254.98/11,569.29
  6. Step 6: Final answer
    x = 9,702.43

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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.