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Finding the Fourth Proportional to 7,798.46, 10,758.14 and 5,670.70

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Solution

The fourth proportional to 7,798.46, 10,758.14 and 5,670.70 is: 7,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.46 : 10,758.14 = 5,670.70 : x
  2. Step 2: Convert to fraction form
    7,798.46/10,758.14 = 5,670.70/x
  3. Step 3: Cross multiply
    7,798.46x = 10,758.14 × 5,670.70
  4. Step 4: Simplify right side
    7,798.46x = 61,006,184.50
  5. Step 5: Solve for x
    x = 61,006,184.50/7,798.46
  6. Step 6: Final answer
    x = 7,822.85

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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.