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Finding the Fourth Proportional to 7,045.68, 10,570.68 and 4,117.80

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Solution

The fourth proportional to 7,045.68, 10,570.68 and 4,117.80 is: 6,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.68 : 10,570.68 = 4,117.80 : x
  2. Step 2: Convert to fraction form
    7,045.68/10,570.68 = 4,117.80/x
  3. Step 3: Cross multiply
    7,045.68x = 10,570.68 × 4,117.80
  4. Step 4: Simplify right side
    7,045.68x = 43,527,946.10
  5. Step 5: Solve for x
    x = 43,527,946.10/7,045.68
  6. Step 6: Final answer
    x = 6,177.96

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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.