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Finding the Fourth Proportional to 10,068.06, 13,894.02 and 5,875.50

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Solution

The fourth proportional to 10,068.06, 13,894.02 and 5,875.50 is: 8,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.06 : 13,894.02 = 5,875.50 : x
  2. Step 2: Convert to fraction form
    10,068.06/13,894.02 = 5,875.50/x
  3. Step 3: Cross multiply
    10,068.06x = 13,894.02 × 5,875.50
  4. Step 4: Simplify right side
    10,068.06x = 81,634,314.51
  5. Step 5: Solve for x
    x = 81,634,314.51/10,068.06
  6. Step 6: Final answer
    x = 8,108.25

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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.