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Finding the Fourth Proportional to 12,870.60, 17,762.12 and 7,834.02

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Solution

The fourth proportional to 12,870.60, 17,762.12 and 7,834.02 is: 10,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.60 : 17,762.12 = 7,834.02 : x
  2. Step 2: Convert to fraction form
    12,870.60/17,762.12 = 7,834.02/x
  3. Step 3: Cross multiply
    12,870.60x = 17,762.12 × 7,834.02
  4. Step 4: Simplify right side
    12,870.60x = 139,148,803.32
  5. Step 5: Solve for x
    x = 139,148,803.32/12,870.60
  6. Step 6: Final answer
    x = 10,811.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.