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Finding the Fourth Proportional to 11,702.35, 17,560.47 and 4,312

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Solution

The fourth proportional to 11,702.35, 17,560.47 and 4,312 is: 6,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.35 : 17,560.47 = 4,312 : x
  2. Step 2: Convert to fraction form
    11,702.35/17,560.47 = 4,312/x
  3. Step 3: Cross multiply
    11,702.35x = 17,560.47 × 4,312
  4. Step 4: Simplify right side
    11,702.35x = 75,720,746.64
  5. Step 5: Solve for x
    x = 75,720,746.64/11,702.35
  6. Step 6: Final answer
    x = 6,470.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.