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Finding the Fourth Proportional to 10,602.61, 15,886.23 and 4,670.67

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Solution

The fourth proportional to 10,602.61, 15,886.23 and 4,670.67 is: 6,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.61 : 15,886.23 = 4,670.67 : x
  2. Step 2: Convert to fraction form
    10,602.61/15,886.23 = 4,670.67/x
  3. Step 3: Cross multiply
    10,602.61x = 15,886.23 × 4,670.67
  4. Step 4: Simplify right side
    10,602.61x = 74,199,337.87
  5. Step 5: Solve for x
    x = 74,199,337.87/10,602.61
  6. Step 6: Final answer
    x = 6,998.21

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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.