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Finding the Fourth Proportional to 7,802.18, 10,767.03 and 4,658.30

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Solution

The fourth proportional to 7,802.18, 10,767.03 and 4,658.30 is: 6,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.18 : 10,767.03 = 4,658.30 : x
  2. Step 2: Convert to fraction form
    7,802.18/10,767.03 = 4,658.30/x
  3. Step 3: Cross multiply
    7,802.18x = 10,767.03 × 4,658.30
  4. Step 4: Simplify right side
    7,802.18x = 50,156,055.85
  5. Step 5: Solve for x
    x = 50,156,055.85/7,802.18
  6. Step 6: Final answer
    x = 6,428.47

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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.