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Finding the Fourth Proportional to 10,597.14, 14,623.84 and 5,881.32

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Solution

The fourth proportional to 10,597.14, 14,623.84 and 5,881.32 is: 8,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.14 : 14,623.84 = 5,881.32 : x
  2. Step 2: Convert to fraction form
    10,597.14/14,623.84 = 5,881.32/x
  3. Step 3: Cross multiply
    10,597.14x = 14,623.84 × 5,881.32
  4. Step 4: Simplify right side
    10,597.14x = 86,007,482.67
  5. Step 5: Solve for x
    x = 86,007,482.67/10,597.14
  6. Step 6: Final answer
    x = 8,116.10

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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.