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Finding the Fourth Proportional to 7,045.70, 9,711.68 and 4,776.30

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Solution

The fourth proportional to 7,045.70, 9,711.68 and 4,776.30 is: 6,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.70 : 9,711.68 = 4,776.30 : x
  2. Step 2: Convert to fraction form
    7,045.70/9,711.68 = 4,776.30/x
  3. Step 3: Cross multiply
    7,045.70x = 9,711.68 × 4,776.30
  4. Step 4: Simplify right side
    7,045.70x = 46,385,873.30
  5. Step 5: Solve for x
    x = 46,385,873.30/7,045.70
  6. Step 6: Final answer
    x = 6,583.58

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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.