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Finding the Fourth Proportional to 10,325.89, 14,256.59 and 7,931.58

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Solution

The fourth proportional to 10,325.89, 14,256.59 and 7,931.58 is: 10,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.89 : 14,256.59 = 7,931.58 : x
  2. Step 2: Convert to fraction form
    10,325.89/14,256.59 = 7,931.58/x
  3. Step 3: Cross multiply
    10,325.89x = 14,256.59 × 7,931.58
  4. Step 4: Simplify right side
    10,325.89x = 113,077,284.11
  5. Step 5: Solve for x
    x = 113,077,284.11/10,325.89
  6. Step 6: Final answer
    x = 10,950.85

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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.