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Finding the Fourth Proportional to 11,565.93, 15,960.63 and 6,530.07

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Solution

The fourth proportional to 11,565.93, 15,960.63 and 6,530.07 is: 9,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.93 : 15,960.63 = 6,530.07 : x
  2. Step 2: Convert to fraction form
    11,565.93/15,960.63 = 6,530.07/x
  3. Step 3: Cross multiply
    11,565.93x = 15,960.63 × 6,530.07
  4. Step 4: Simplify right side
    11,565.93x = 104,224,031.14
  5. Step 5: Solve for x
    x = 104,224,031.14/11,565.93
  6. Step 6: Final answer
    x = 9,011.30

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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.