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Finding the Fourth Proportional to 11,301.66, 15,595.74 and 6,585.84

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Solution

The fourth proportional to 11,301.66, 15,595.74 and 6,585.84 is: 9,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.66 : 15,595.74 = 6,585.84 : x
  2. Step 2: Convert to fraction form
    11,301.66/15,595.74 = 6,585.84/x
  3. Step 3: Cross multiply
    11,301.66x = 15,595.74 × 6,585.84
  4. Step 4: Simplify right side
    11,301.66x = 102,711,048.32
  5. Step 5: Solve for x
    x = 102,711,048.32/11,301.66
  6. Step 6: Final answer
    x = 9,088.14

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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.