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Finding the Fourth Proportional to 10,583.37, 15,878.87 and 4,009.50

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Solution

The fourth proportional to 10,583.37, 15,878.87 and 4,009.50 is: 6,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.37 : 15,878.87 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    10,583.37/15,878.87 = 4,009.50/x
  3. Step 3: Cross multiply
    10,583.37x = 15,878.87 × 4,009.50
  4. Step 4: Simplify right side
    10,583.37x = 63,666,341.17
  5. Step 5: Solve for x
    x = 63,666,341.17/10,583.37
  6. Step 6: Final answer
    x = 6,015.70

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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.