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Finding the Fourth Proportional to 27,382.16, 41,068.59 and 7,656.13

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Solution

The fourth proportional to 27,382.16, 41,068.59 and 7,656.13 is: 11,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.16 : 41,068.59 = 7,656.13 : x
  2. Step 2: Convert to fraction form
    27,382.16/41,068.59 = 7,656.13/x
  3. Step 3: Cross multiply
    27,382.16x = 41,068.59 × 7,656.13
  4. Step 4: Simplify right side
    27,382.16x = 314,426,486.58
  5. Step 5: Solve for x
    x = 314,426,486.58/27,382.16
  6. Step 6: Final answer
    x = 11,482.89

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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.