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Finding the Fourth Proportional to 7,543.83, 10,416.60 and 4,714.50

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Solution

The fourth proportional to 7,543.83, 10,416.60 and 4,714.50 is: 6,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.83 : 10,416.60 = 4,714.50 : x
  2. Step 2: Convert to fraction form
    7,543.83/10,416.60 = 4,714.50/x
  3. Step 3: Cross multiply
    7,543.83x = 10,416.60 × 4,714.50
  4. Step 4: Simplify right side
    7,543.83x = 49,109,060.70
  5. Step 5: Solve for x
    x = 49,109,060.70/7,543.83
  6. Step 6: Final answer
    x = 6,509.83

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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.