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Finding the Fourth Proportional to 4,333.65, 6,501.16 and 1,411.27

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Solution

The fourth proportional to 4,333.65, 6,501.16 and 1,411.27 is: 2,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.65 : 6,501.16 = 1,411.27 : x
  2. Step 2: Convert to fraction form
    4,333.65/6,501.16 = 1,411.27/x
  3. Step 3: Cross multiply
    4,333.65x = 6,501.16 × 1,411.27
  4. Step 4: Simplify right side
    4,333.65x = 9,174,892.07
  5. Step 5: Solve for x
    x = 9,174,892.07/4,333.65
  6. Step 6: Final answer
    x = 2,117.13

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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.