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Finding the Fourth Proportional to 10,525.59, 15,782.58 and 4,284

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Solution

The fourth proportional to 10,525.59, 15,782.58 and 4,284 is: 6,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.59 : 15,782.58 = 4,284 : x
  2. Step 2: Convert to fraction form
    10,525.59/15,782.58 = 4,284/x
  3. Step 3: Cross multiply
    10,525.59x = 15,782.58 × 4,284
  4. Step 4: Simplify right side
    10,525.59x = 67,612,572.72
  5. Step 5: Solve for x
    x = 67,612,572.72/10,525.59
  6. Step 6: Final answer
    x = 6,423.64

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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.