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Finding the Fourth Proportional to 7,898.36, 10,898.46 and 4,711.50

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Solution

The fourth proportional to 7,898.36, 10,898.46 and 4,711.50 is: 6,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.36 : 10,898.46 = 4,711.50 : x
  2. Step 2: Convert to fraction form
    7,898.36/10,898.46 = 4,711.50/x
  3. Step 3: Cross multiply
    7,898.36x = 10,898.46 × 4,711.50
  4. Step 4: Simplify right side
    7,898.36x = 51,348,094.29
  5. Step 5: Solve for x
    x = 51,348,094.29/7,898.36
  6. Step 6: Final answer
    x = 6,501.11

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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.