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Finding the Fourth Proportional to 10,368.34, 14,304.01 and 6,117.72

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Solution

The fourth proportional to 10,368.34, 14,304.01 and 6,117.72 is: 8,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.34 : 14,304.01 = 6,117.72 : x
  2. Step 2: Convert to fraction form
    10,368.34/14,304.01 = 6,117.72/x
  3. Step 3: Cross multiply
    10,368.34x = 14,304.01 × 6,117.72
  4. Step 4: Simplify right side
    10,368.34x = 87,507,928.06
  5. Step 5: Solve for x
    x = 87,507,928.06/10,368.34
  6. Step 6: Final answer
    x = 8,439.92

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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.