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Finding the Fourth Proportional to 7,123.30, 10,690.35 and 4,657.30

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Solution

The fourth proportional to 7,123.30, 10,690.35 and 4,657.30 is: 6,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.30 : 10,690.35 = 4,657.30 : x
  2. Step 2: Convert to fraction form
    7,123.30/10,690.35 = 4,657.30/x
  3. Step 3: Cross multiply
    7,123.30x = 10,690.35 × 4,657.30
  4. Step 4: Simplify right side
    7,123.30x = 49,788,167.06
  5. Step 5: Solve for x
    x = 49,788,167.06/7,123.30
  6. Step 6: Final answer
    x = 6,989.48

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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.