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Finding the Fourth Proportional to 10,482.35, 15,723.05 and 2,985.93

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Solution

The fourth proportional to 10,482.35, 15,723.05 and 2,985.93 is: 4,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.35 : 15,723.05 = 2,985.93 : x
  2. Step 2: Convert to fraction form
    10,482.35/15,723.05 = 2,985.93/x
  3. Step 3: Cross multiply
    10,482.35x = 15,723.05 × 2,985.93
  4. Step 4: Simplify right side
    10,482.35x = 46,947,911.76
  5. Step 5: Solve for x
    x = 46,947,911.76/10,482.35
  6. Step 6: Final answer
    x = 4,478.76

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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.