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Finding the Fourth Proportional to 11,276.64, 15,569.42 and 7,029.40

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Solution

The fourth proportional to 11,276.64, 15,569.42 and 7,029.40 is: 9,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.64 : 15,569.42 = 7,029.40 : x
  2. Step 2: Convert to fraction form
    11,276.64/15,569.42 = 7,029.40/x
  3. Step 3: Cross multiply
    11,276.64x = 15,569.42 × 7,029.40
  4. Step 4: Simplify right side
    11,276.64x = 109,443,680.95
  5. Step 5: Solve for x
    x = 109,443,680.95/11,276.64
  6. Step 6: Final answer
    x = 9,705.34

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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.