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Finding the Fourth Proportional to 7,834.50, 10,810.80 and 4,477.32

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Solution

The fourth proportional to 7,834.50, 10,810.80 and 4,477.32 is: 6,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.50 : 10,810.80 = 4,477.32 : x
  2. Step 2: Convert to fraction form
    7,834.50/10,810.80 = 4,477.32/x
  3. Step 3: Cross multiply
    7,834.50x = 10,810.80 × 4,477.32
  4. Step 4: Simplify right side
    7,834.50x = 48,403,411.06
  5. Step 5: Solve for x
    x = 48,403,411.06/7,834.50
  6. Step 6: Final answer
    x = 6,178.24

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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.