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Finding the Fourth Proportional to 7,805.69, 11,710.10 and 2,875.35

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Solution

The fourth proportional to 7,805.69, 11,710.10 and 2,875.35 is: 4,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.69 : 11,710.10 = 2,875.35 : x
  2. Step 2: Convert to fraction form
    7,805.69/11,710.10 = 2,875.35/x
  3. Step 3: Cross multiply
    7,805.69x = 11,710.10 × 2,875.35
  4. Step 4: Simplify right side
    7,805.69x = 33,670,621.66
  5. Step 5: Solve for x
    x = 33,670,621.66/7,805.69
  6. Step 6: Final answer
    x = 4,313.60

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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.