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Finding the Fourth Proportional to 11,526.96, 17,294.76 and 4,602

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Solution

The fourth proportional to 11,526.96, 17,294.76 and 4,602 is: 6,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.96 : 17,294.76 = 4,602 : x
  2. Step 2: Convert to fraction form
    11,526.96/17,294.76 = 4,602/x
  3. Step 3: Cross multiply
    11,526.96x = 17,294.76 × 4,602
  4. Step 4: Simplify right side
    11,526.96x = 79,590,485.52
  5. Step 5: Solve for x
    x = 79,590,485.52/11,526.96
  6. Step 6: Final answer
    x = 6,904.72

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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.