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Finding the Fourth Proportional to 7,323.40, 10,985 and 1,776.79

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Solution

The fourth proportional to 7,323.40, 10,985 and 1,776.79 is: 2,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.40 : 10,985 = 1,776.79 : x
  2. Step 2: Convert to fraction form
    7,323.40/10,985 = 1,776.79/x
  3. Step 3: Cross multiply
    7,323.40x = 10,985 × 1,776.79
  4. Step 4: Simplify right side
    7,323.40x = 19,518,038.15
  5. Step 5: Solve for x
    x = 19,518,038.15/7,323.40
  6. Step 6: Final answer
    x = 2,665.16

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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.