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Finding the Fourth Proportional to 10,509, 14,501.16 and 6,032.52

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Solution

The fourth proportional to 10,509, 14,501.16 and 6,032.52 is: 8,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509 : 14,501.16 = 6,032.52 : x
  2. Step 2: Convert to fraction form
    10,509/14,501.16 = 6,032.52/x
  3. Step 3: Cross multiply
    10,509x = 14,501.16 × 6,032.52
  4. Step 4: Simplify right side
    10,509x = 87,478,537.72
  5. Step 5: Solve for x
    x = 87,478,537.72/10,509
  6. Step 6: Final answer
    x = 8,324.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.