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Finding the Fourth Proportional to 11,287.65, 15,580.35 and 7,309.02

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Solution

The fourth proportional to 11,287.65, 15,580.35 and 7,309.02 is: 10,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.65 : 15,580.35 = 7,309.02 : x
  2. Step 2: Convert to fraction form
    11,287.65/15,580.35 = 7,309.02/x
  3. Step 3: Cross multiply
    11,287.65x = 15,580.35 × 7,309.02
  4. Step 4: Simplify right side
    11,287.65x = 113,877,089.76
  5. Step 5: Solve for x
    x = 113,877,089.76/11,287.65
  6. Step 6: Final answer
    x = 10,088.64

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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.