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Finding the Fourth Proportional to 10,898.57, 16,345.42 and 4,322.99

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Solution

The fourth proportional to 10,898.57, 16,345.42 and 4,322.99 is: 6,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.57 : 16,345.42 = 4,322.99 : x
  2. Step 2: Convert to fraction form
    10,898.57/16,345.42 = 4,322.99/x
  3. Step 3: Cross multiply
    10,898.57x = 16,345.42 × 4,322.99
  4. Step 4: Simplify right side
    10,898.57x = 70,661,117.26
  5. Step 5: Solve for x
    x = 70,661,117.26/10,898.57
  6. Step 6: Final answer
    x = 6,483.52

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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.