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Finding the Fourth Proportional to 10,556.04, 15,834.06 and 3,630

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Solution

The fourth proportional to 10,556.04, 15,834.06 and 3,630 is: 5,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.04 : 15,834.06 = 3,630 : x
  2. Step 2: Convert to fraction form
    10,556.04/15,834.06 = 3,630/x
  3. Step 3: Cross multiply
    10,556.04x = 15,834.06 × 3,630
  4. Step 4: Simplify right side
    10,556.04x = 57,477,637.80
  5. Step 5: Solve for x
    x = 57,477,637.80/10,556.04
  6. Step 6: Final answer
    x = 5,445.00

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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.