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Finding the Fourth Proportional to 7,117.60, 9,818.72 and 4,598.72

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Solution

The fourth proportional to 7,117.60, 9,818.72 and 4,598.72 is: 6,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.60 : 9,818.72 = 4,598.72 : x
  2. Step 2: Convert to fraction form
    7,117.60/9,818.72 = 4,598.72/x
  3. Step 3: Cross multiply
    7,117.60x = 9,818.72 × 4,598.72
  4. Step 4: Simplify right side
    7,117.60x = 45,153,544.04
  5. Step 5: Solve for x
    x = 45,153,544.04/7,117.60
  6. Step 6: Final answer
    x = 6,343.93

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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.